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Semiclassical description: the Maxwell-Bloch Equations 21

Slow Scale Maxwell-Bloch Equations for Active Photonic Crystals

Slow Scale Maxwell-Bloch Equations for Active Photonic Crystals

... framework, Maxwell-Bloch equations for the active PC reduce to the time independent Maxwell equation [also called as master equation in PC literatures [2]) with an active dielectric ...

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Description of the evolution of the macroscopic magnetic vector by the phenomenological Bloch equations

Description of the evolution of the macroscopic magnetic vector by the phenomenological Bloch equations

... The transform matrix is a square matrix of the suited coefficients 2x2 in the former case and 3x3 in the. latter.[r] ...

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Transient chaos in fractional Bloch equations

Transient chaos in fractional Bloch equations

... The Bloch equation provides the fundamental description of nuclear magnetic resonance (NMR) and relaxation (T 1 and T 2 ...fractional-order Bloch equation is a generalization of the integer-order ...

10

Maxwell s Equations and Electromagnetic Waves

Maxwell s Equations and Electromagnetic Waves

... = ⎨ ⎪ ⎪⎩ 13.10 Appendix: Reflection of Electromagnetic Waves at Conducting Surfaces How does a very good conductor reflect an electromagnetic wave falling on it? In words, what happens is the following. The time-varying ...

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A Derivation of Maxwell Equations in Quaternion Space

A Derivation of Maxwell Equations in Quaternion Space

... of Maxwell Equations in Quaternion Space Vic Chrisitianto ∗ and Florentin Smarandache † ∗ Present address: Institute of Gravitation and Cosmology, PFUR, Moscow, 117198, ...derive Maxwell ...

5

Tiered Structure of Maxwell s Equations

Tiered Structure of Maxwell s Equations

... 1. INTRODUCTION The vector potentials have acquired a prominent role in the description of the electromagnetic field angular momentum content. The optical helicity density is defined as % AC = µε(A · B − C · E), ...

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On Group Invariant Solutions to the Maxwell Dirac equations

On Group Invariant Solutions to the Maxwell Dirac equations

... However, relativistic and wave mechanical e¤ects might instead lead to some kind of nonlinear self-gathering of the electron into a localised wave or soliton. One motivation of these investigations is to obtain an ...

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Homogenization of the system of high-contrast Maxwell equations.

Homogenization of the system of high-contrast Maxwell equations.

... the Bloch space (see [ 6 ]; see also [ 17 ], where a general approach to degenerate problems is discussed, based on the generalized Weyl ...of Maxwell equations, which is of interest to us in the ...

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Non wave Solutions of the Maxwell Einstein Equations

Non wave Solutions of the Maxwell Einstein Equations

... field equations characterized by a finite action and connecting two different vacuums of the theory ...the description in Minkowski space to a description in pseudo-Euclidean space is performed by ...

14

The Application of Generalised Maxwell Stefan Equations to Protein Gels

The Application of Generalised Maxwell Stefan Equations to Protein Gels

... The frequent removal of fouling deposits is required to meet the strict hygiene standards and to maintain normal production capability. It is also critical to the dairy industry in terms of energy and cost efficiency. ...

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CiteSeerX — Bloch-Redfield equations for modeling light-harvesting complexes

CiteSeerX — Bloch-Redfield equations for modeling light-harvesting complexes

... that Bloch-Redfield equations are a less powerful tool than phe- nomenological Lindblad equations for modeling exciton transport in photosynthetic ...detailed description of how to model both ...

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Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert Problem approach

Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert Problem approach

... finite-gap potentials arise as asymptotic solutions in the initial value problems for the fNLS with non-oscillating initial conditions (e.g. Gaussian or sech initial data for (1.1)). This has been understood in the ...

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THE REINTERPRETATION OF THE "MAXWELL EQUATIONS"

THE REINTERPRETATION OF THE "MAXWELL EQUATIONS"

... these equations are now used as individual components in equations ...of equations has general validity, since it also offers an application possibility under the prerequisites that both the velocity ...

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Deriving the Fresnel Equations in the framework of Maxwell equations

Deriving the Fresnel Equations in the framework of Maxwell equations

... Fresnel Equations in the framework of Maxwell equations The Fresnel equations relate the amplitudes, phases, angle of incidence, and polarizations of the transmitted and reflected waves that ...

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On Maxwell Equations for Gravitational Field

On Maxwell Equations for Gravitational Field

... of Maxwell-like gravitational field formulation has been shown based on what we already know from Electrodynamics ...body equations of motion the dissipative effect caused by the emission of gravitational ...

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A generalization of the Einstein Maxwell equations

A generalization of the Einstein Maxwell equations

... Maxwell’s equations in flat space in a three-dimensional notation in order to develop a physical understanding of the modifications to the electromagnetic side of the ...Einstein–Maxwell equations ...

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Derivation of two homogenous Maxwell equations

Derivation of two homogenous Maxwell equations

... Dept. of Physics, Worcester Polytechnic Institute 100 Institute Rd., Worcester, MA 01609, USA We present a theoretical derivation of two homoge- nous Maxwell equations, based on Stokes theorem for Minkowski ...

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- ADI splitting for Maxwell s equations

- ADI splitting for Maxwell s equations

... error analysis for Namiki; Zheng, Chen, Zhang method for Maxwell’s equations on a cuboid. proved rigorous bounds for abstract problem[r] ...
Steklov eigenvalues for Maxwell s equations

Steklov eigenvalues for Maxwell s equations

... C., Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification, to appear in Inverse Probl.. Appl., 2013[r] ...

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INTEGRAL EQUATION METHOD FOR MAXWELL EQUATIONS

INTEGRAL EQUATION METHOD FOR MAXWELL EQUATIONS

... Abstract. The integral equation method is used to the Maxwell equations written in frequency variables in R 3 . The coefficient is assumed to be piecewise constant. We derive the integral equation which is ...

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